# What is the exterior angle theorem formula?

## What is the exterior angle theorem formula?

What is the Exterior Angle Theorem Formula? The sum of the exterior angle = the sum of two non-adjacent interior opposite angles. An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

### What is exterior angle property theorem?

What is the exterior angle property? If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

What is the exterior angle sum theorem?

Polygon Exterior Angle Sum Theorem If a polygon is a convex polygon, then the sum of its exterior angles (one at each vertex) is equal to 360 degrees.

What is exterior angle theorem for kids?

The exterior angle theorem states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles.

## How do you prove exterior angles of property?

Angle Sum Property Of A Triangle & Exterior Angle Theorem

1. Theorem 1: Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
2. Proof:
3. Theorem 2: If any side of a triangle is extended, then the exterior angle so formed is the sum of the two opposite interior angles of the triangle.

### Why exterior angles add up to 360?

Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs.

What is the exterior angle of ABC?

The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In the illustration above, the triangle ABC’s interior angles are a, b, c, and the exterior angles are d, e, and f. Adjacent interior and exterior angles are supplementary angles.

What is exterior angle inequality?

Geometry. The exterior angle of a triangle will always be greater than the two remote interior angles. In other words, the measure of the red angle is greater than that of the blue angle or the green angle.

## What is exterior angle bisector theorem?

External Angle Bisector Theorem The external angle bisector of a triangle divides the opposite side externally in the ratio of the sides containing the angle.

### How do you prove that the exterior angle of a triangle is 360?

In an equilateral triangle, each interior angle is equal to 60°. Thus, every exterior angle will be 180° – 60° = 120°. Hence, the sum of the exterior angles of an equilateral triangle is 120° + 120° + 120° = 360°.

Do exterior angles add up to 180?

Remember the interior and exterior angle add up to 180°.

Do all exterior angles add up to 360?

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.